Answers
A = 1/2 · h · (b₁ + b₂)
A = area
h = height
b₁ = base 1
b₂ = base 2
Plug in the numbers given for trapezoid AWEV
1/2 · 3 · (3 + 6)
Then solve
1/2 · 3 · 9 = 13.5
The area of trapezoid AWEV = 13.5 ft²
Follow the same steps for the second trapezoid (Trapezoid EFGH)
A = 1/2 · h · (b₁ + b₂)
A = area
h = height
b₁ = base 1
b₂ = base 2
Plug in the numbers given for trapezoid EFGH
1/2 · 4 · (13 + 8)
Then solve
1/2 · 4 · 21 = 42
The area of trapezoid EFGH = 42 ft²
Related Questions
Which equation best describes the line of best fit?
A) y=6x +10
B) y=x−10
C) y=10x +70
D) y=2/3x
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Selection A is the appropriate equation.
What are the operations used to
solve this equation5/6x-2=-2/3x+1
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multiplication
Need help! Stuck in this question.
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How do u solve this system with substitution?
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4x - 2x + 5 = 7
2x + 5 = 7
2x = 2
x = 1
y = 2(1) - 5
y = 2 - 5 = -3
what quadrilateral has exactly one pair of parallel sides
Answers
A line containing the points (2, 16) and (-8, -4) intersects the y-axis at what point?
Answers
We write this as slope-intercept: y = 2x + b(b is the y-intercept). Now we plug in on of the above points: 16 = 2(2) + b, and b is equal to 12.
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Hope this helps!
To find the y-intercept of a line, we can use the equation y = mx + b. By substituting the coordinates of one of the given points into the equation, we can solve for b and find the y-intercept. The y-intercept is the point where the line intersects the y-axis.
Explanation:The line containing the points (2, 16) and (-8, -4) can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept. To find the y-intercept, we need to substitute the values of one of the given points into the equation and solve for b.
Using the point (2, 16), we have 16 = m(2) + b. Substituting the values of the other point gives us -4 = m(-8) + b. We can solve this system of equations to find the values of m and b.
16 = 2m + b-4 = -8m + bBy subtracting equation 2 from equation 1, we can eliminate b and solve for m. After finding the value of m, we can substitute it back into either equation to find the value of b. This will give us the y-intercept.
Once we have the values of m and b, we can write the equation of the line in the form y = mx + b. The y-intercept will be the point at which the line intersects the y-axis.
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Sarah build a dollhouse the floor the dollhouses Square Sara covers the floor with 144 square inches of tile how long in inches is one side of the dollhouse floor?
A. 12
B. 38
C. 72
D. 144
Answers
square root of 144 = 12
So a side length is 12
EXPLAIN HOW A NUMBER LINE CAN BE USED TO FIND THE DIFFERENCE
FOR 34-28
Answers
Leslie drank 4/5 pint of juice and Hank drank 7/10 pint of juice. Who drank more
Answers
How does the height of the triangle compare to the height of the rectangle
Answers
For a triangle, A = (1/3)bh
For a rectangle, A = bh
If we let h represent the height of the rectangle and H represent the height of the triangle, we have
.. (1/3)bH = A = bh
.. H = 3h . . . . . . multiply the above equation by 3/b
Hello! I need a bit of help with this one! Thanks
of the calculators sold this week, 3/8 of them were blue and of those, 2/9 were broken. What fraction of the calculators were blue and broken?
Answers
2/9 x 3/8 = 1/12 of the calculators were broken.
Simplify the expression so there is only one positive power for each base
(3^-2•7^-5)^-4
Answers
D is the answer
Answer:The and is D
Step-by-step explanation:
Find the value of X in the triangle.
Please explain. Thanks.
Answers
triangles can only have 180°
This is a right triangle, so one angle is 90°, leaving us with 90° left
90°-61°= 29°
You have a right angle, they're always 90 degrees, plus 61 degrees = 151, next you subtract 151 from 180 = 29 degrees.
if the length of FH is 18 units, what is the value if x
Answers
Answer:
The value of x is 3
Step-by-step explanation:
Given that the length of FH is 18 units
we have to find the value of x.
Point G lies between F and H in which measurements are
[tex]\text{FG=4x and GH=2x}[/tex]
[tex]FH=4x+2x=6x\thinspace units[/tex]
[tex]6x=18[/tex]
Divide by 6 throughout the equation.
[tex]x=\frac{18}{6}=3[/tex]
The value of x is 3 cm.
Option 1 is correct.
Evaluate sin[2 arccos( -8/17 )].
Answers
[tex]\sin\left(2\arccos\left(-\dfrac8{17}\right)\right)=2\sin\left(\arccos\left(-\dfrac8{17}\right)\right)\cos\left(\arccos\left(-\dfrac8{17}\right)\right)[/tex]
Dealing with the cosine terms is simple, since [tex]\cos(\arccos x)=x[/tex] (so long as [tex]0\le \arccos x\le\pi[/tex], which is true here). So
[tex]\cos\left(\arccos\left(-\dfrac8{17}\right)\right)=-\dfrac8{17}[/tex]
To find the sine, we can make a substitution of [tex]\theta=\arccos\left(-\dfrac8{17}\right)[/tex]. In other words, we suppose that [tex]\theta[/tex] is some angle that satisfies [tex]\cos\theta=-\dfrac8{17}[/tex].
If this is the case, then we have
[tex]\sin^2\theta=1-\cos^2\theta=\dfrac{225}{289}\implies\sin\theta=\pm\sqrt{\dfrac{225}{289}}=\pm\dfrac{15}{17}[/tex]
But which value do we choose? We know that [tex]\cos\theta[/tex] is negative, which means [tex]\theta[/tex] must be between [tex]\dfrac\pi2[/tex] and [tex]\pi[/tex]. The sine of any angle [tex]\theta[/tex] in this interval will always be positive, so in fact
[tex]\sin\theta=\sin\left(\arccos\left(-\dfrac8{17}\right)\right)=\dfrac{15}{17}[/tex]
Putting everything together, we get
[tex]\sin\left(2\arccos\left(-\dfrac8{17}\right)\right)=2\left(\dfrac{15}{17}\right)\left(-\dfrac8{17}\right)=-\dfrac{240}{289}[/tex]
Answer this correctly plz
Answers
A = (1/2)bh
= (1/2)(3 ft)(6 ft)
= 9 ft^2
That triangular area is not carpeted, so the carpet area is
72 ft^2 -9 ft^2 = 63 ft^2.
You are buying salsa at the grocery store. You have a manufacturer’s coupon for $0.50 off and the store is offering 50% off if you buy 2 containers. One container of salsa costs $3.25. What is your final cost?
Answers
Answer: Final cost will be $2.75.
Step-by-step explanation:
Since we have given that
Cost of salsa container = $3.25
Off on coupon = $0.50
Final cost of one salsa container is given by
[tex]3.25-0.50\\\\=\$2.75[/tex]
Hence, the final cost will be $2.75.
if he bought two containers
Cost of two containers is given by
[tex]3.25\times 2\\\\=\$6.50[/tex]
Coupon 50% off is given by
[tex]6.50\times 0.5\\\\=3.25[/tex]
So, Final cost is given by
[tex]6.25-3.25-0.5\\\\=\$2.75[/tex]
Hence, Final cost will be $2.75.
Which model is most appropriate for the data shown in the graph below
Answers
Larry has a cylinder shaped pitcher that is 13 inches long and a radius of 4 inches. Sandra has a cylinder shaped pitcher that is 8 inches long and a radius of 6 inches
Answers
The approximate volume of Sandra's pitcher is 904.78 cubic inches.
What is the volume of a right circular cylinder?Suppose that the radius of considered right circular cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
Right circular cylinder is the cylinder in which the line joining center of top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.
We are given that;
For Larry's picture, we have r = 4 inches and h = 13 inches. Substituting these values into the formula, we get:
V = π(4^2)(13)
V ≈ 804.25 cubic inches
Therefore, the approximate volume of Larry's picture is 804.25 cubic inches.
For Sandra's pitcher, we have r = 6 inches and h = 8 inches. Substituting these values into the formula, we get:
V = π(6^2)(8)
V ≈ 904.78 cubic inches
Therefore, the volume of cylinder will be 904.78 cubic inches.
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The complete question is;
Larry has a cylinder shaped pictures that is 13 inches long and radius of 4 inches. Sandra has a cylinder shaped pitcher that is 8 inches long and radius of 6 inches. The volume of Larry’s picture is approximately __. The volume of Sandra’s pitcher is approximately __?
Emma buys a game for $26.84. She pays for the game with a $20 bill and two $5 bills.
How much change should she receive? - $3.16
List the change in coins and bills. - ??
Answers
One dime
6 pennies
what is the answer to 50% of 4=
Answers
Kenji's dog ate 3/12 of e treats in a box of dog treats on Monday. His dog ate 2/12 of the treats on Tuesday. What fraction more of the box of the treats did his dog eat on Monday than on Tuesday?
Answers
3/12-2/12= 1/12
What is the slope-intercept equation of the line through the points (-7,2) (-2,1)
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!! 30 PTS !!
Hello, I need some help on this Geometry Area question:
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40% of college students scored more than 70% on a math test 120 students scored below that how many total students took the math test
Answers
There are 18 muffins on a plate. If they are split equally among 9 people, how many muffins will each person get? Write three equations to solve it.
Answers
2. m = muffins & p = people m/p=t
3.18 muffins divide 9 people equal 2 muffins for everyone
please help im confused
Answers
3²+4²=5²
9+16=25
25=25
26) It is a right triangle
6²+8²=10²
36+64=100
100=100
27) Not a right triangle
5²+5²=10²
25+25=100
50=100
28) It is a right triangle
5²+12²=13²
25+144=169
169=169
Hope this helps :)
Guys help me please:(
Answers
y = -5
For this case, you must realize that the solution to the system of equations is the ordered pair:
(x, y) = (- 2, -5)
Graphically, they are two lines that intersect in the third quadrant.
Answer:
See attached image.
Worth 25 POINTS HELP ASAP
(Picture is shown!)
Answers
first u simplify 1 3/5 which is 8/5
the expression turns into 3 - 8/5
3 8 2
_ - _ = 1 _
1 5 5
to answer, u have to find a gcf to find the common denominators.
15/5 - 8/5 = 7/5
7/5 = 1 2/5
or
u can put them into decimal:
3 - 1.6 = 1.4
1.4 = 1 2/5
(4/10 simplified is 2/5)
so, the answer is 1 2/5 or 1.4
1/4-(2006 + .20)+2x2-4